PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 2 of 2 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-38675cee49d3e95e4f410a21 · master cb9ce26d95e37a21 · S327.

LIB2-018 · DET-7 is a structural postulate in the algebraic selector

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.164 (bytes of record)):

DET-7 enters this appendix as a structural postulate, not a derived necessity; the result is therefore a conditional selector theorem.

Statement

In Appendix E's algebraic selector, det Gram(Jvac,Jvac#) = 7 is imposed as the DET-7 structural postulate, not derived as a necessity.

Parts of the statement (2)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

p1 · In Appendix E's algebraic selector, det Gram(Jvac,Jvac#) = 7 is imposed as the DET-7 structural postulate (one claim)
p2 · not derived as a necessity. (one claim)

Scope

carrier	Positive diagonal Jordan element and its adjoint
domain	The premise role of DET-7 in the algebraic selector, not its evaluation on an already selected spectrum.
hypotheses	Unit Jordan determinant is the normalization.; Route A also assumes inversion symmetry; Route B instead restricts to positive golden-field units.
quantifier	The declared class only.
real form	J3(Os)

What this does not show. This postulate does not establish its own first-principles necessity or the physical attachment of the resulting invariant.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Appendix E, §3, Remark 2: status of H2 — PDF p.171 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

DET-7 enters this appendix as a structural postulate, not a derived necessity; the result is therefore a conditional selector theorem.

Appendix E, §9, Conditional-selector status — PDF p.179 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Theorems 1 and 2 discharge the carried item [A641/Q5A]: the working vacuum spectrum {ϕ, 1, ϕ−1 } is forced up to permutation, conditional on the named hypotheses (unit norm; inversion symmetry, or the golden-field restriction; DET-7), with the residual input named in each route.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Appendix E §3, Remark 2, p.164	—	shipped	The supplied passage explicitly identifies the postulate's role; no derivation or kernel execution is claimed.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printed	page	digit source
`7`	PDF p.163 (bytes of record)	closed form: H2 sets det Gram(Jvac,Jvac#) = 7 in the printed hypothesis list

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

use	state	premise	role	why the house declared it · reads
`USE-0002`	REJECTED by PI (R78)	PRM-013 (PRM-013/r1) — DET-7 structural postulate	adopted_physical	Its own statement: 'det Gram(Jvac,Jvac#) = 7 is imposed as the DET-7 structural postulate, not derived as a necessity'. The record exists to say DET-7 is a premise.

Typed links

type	target	licensed by
`cited_by_section`	E-C04.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0047
`cited_by_section`	E-C04.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0052
`cited_by_section`	E-C04.1.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0062

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (2)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1632-F6` A1632	MOTIVATION	CONFIRMED	The remark calls det Gram 'a discrete, non-tunable invariant'; on the unrestricted domain det Gram(diag(t,1,1/t)) = (t²+1+t⁻²)²−9 varies continuously (0 at t=1, 7 at t=φ). The postulate predicate is untouched.	appendix_e:100; computation at t = 1, φ, 1.3. paper: REV32.9_CHANGELOG S327·A1632 item 5 (landed in Rev32.9)	no — the predicate is unaffected

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	PASS	exercised
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedents	no legacy antecedent identified
candidate ids (frozen list S304)	C2-003

Drafting-lane note

C2-003 is the named premise, not another proof of the number. The phrase 'structural postulate' is preserved in its quote; it is not converted to a two-axis label or a scorecard tier.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 ea6b5b300fbaa7acdd1917b9a314adc328ca0604f72bca710e3c57656d1ff2a0

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-018 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02